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Finding the Fourth Proportional to 1,187.10, 1,780.65 and 456.75

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Solution

The fourth proportional to 1,187.10, 1,780.65 and 456.75 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.10 : 1,780.65 = 456.75 : x
  2. Step 2: Convert to fraction form
    1,187.10/1,780.65 = 456.75/x
  3. Step 3: Cross multiply
    1,187.10x = 1,780.65 × 456.75
  4. Step 4: Simplify right side
    1,187.10x = 813,311.89
  5. Step 5: Solve for x
    x = 813,311.89/1,187.10
  6. Step 6: Final answer
    x = 685.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.